Least Common Multiple of 150 and 154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 150 and 154 the smallest integer that is 11550 that is divisible by both numbers.

Least Common Multiple (LCM) of 150 and 154 is 11550.

LCM(150,154) = 11550

LCM of 150 and 154

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 150 and 154

LCM of 150 and 154 is 11550

Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 154. First we will calculate the prime factors of 150 and 154.

Prime Factorization of 150


2 150
3 75
5 25
5 5
1

Prime factors of 150 are 2, 3,5. Prime factorization of 150 in exponential form is:

150 = 21×31×52

Prime Factorization of 154


2 154
7 77
11 11
1

Prime factors of 154 are 2, 7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 150 and 154.

LCM(150,154) = 21×31×52×71×111
LCM(150,154) = 11550

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Least Common Multiple of 150 and 154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 150 and 154, than apply into the LCM equation.

GCF(150,154) = 2
LCM(150,154) = ( 150 × 154) / 2
LCM(150,154) = 23100 / 2
LCM(150,154) = 11550

Properties of LCM 150 and 154

(i) The LCM of 154 and 150 is associative

LCM of 150 and 154 = LCM of 154 and 150

Related Least Common Multiples of 150

Related Least Common Multiples of 154

Frequently Asked Questions on LCM of 150 and 154

1. What is the LCM of 150 and 154?

Answer: LCM of 150 and 154 is 11550.

2. What are the Factors of 150?

Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.

3. What are the Factors of 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

4. How to Find the LCM of 150 and 154?

Answer:

Least Common Multiple of 150 and 154 = 11550

Step 1: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11550 = 2 x 3 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 150 and 154 is 11550.